If I decided not to recognize the validity of your claim on those thousand acres and laid claim to them myself, what would you do about it?

Towards the end of the Revolutionary War, many people were staking out 'tomahawk claims' on wilderness land in southwest Pennsylvania.( A tomahawk claim was where you just cut notches in trees, to mark out your boundary lines). This was fairly common up and down the frontier line. But this particular land was "owned" by absentee landowners farther east. About five years after the war ended, the absentee landowners attempted to kick all the 'squatters' off the land. Many landowners' representatives ended up being tarred, feathered, and run out to the nearest county line on a rail Then President,George Washington had Alexander Hamilton raise a body of 5,000 Federal troops and State Militia to 'restore order'. This became known as the 'Whiskey Rebellion'. But what is generally not known is that it had nothing to do with taxes on Whiskey-making. Rather, it was a case of wealthy land speculators moving in, and evicting settlers from land they had already improved upon, by building cabins, and putting in crops. (Many of these settlers incidentally, were Continental Army veterans). Tomahawk claimants in Kentucky and Tennessee were luckier. They were much farther removed from the reaches of the Federal government. So, if you're gonna mark out a tomahawk claim of your own, you might consider some uninhabited island somewhere, and go completely off the grid!

There's a difference between Libertarian and Anarchist.

I don’t know but I doubt it as the government would likely want it.